I read this news this morning and thought about giving my Case Western Reserve University statistics students extra HW. My TA thinks that this is a good opportunity for them to apply Statistics to real life. Do you like this idea?
Vote Intention (Likely Voters)
MI |
PA |
WI |
|
Biden |
52% |
52% |
53% |
Trump |
42% |
44% |
44% |
Other/Not Sure |
5% |
3% |
3% |
N |
681 |
669 |
647 |
https://news.wisc.edu/new-polls-show-biden-with-growing-leads-in-three-battleground-states/
Please construct 95% confidence interval for Biden's winning proportion and Trump's winning proportion. What is your conclusion about the election 2020? There are 5%, 3%, and 3% undecided voters. What % of undecided voters vote for Trump would make him a possible winner? (You have to use Excel Goal Seek).
How to use Excel Goal Seek:
- Highlight the cell you want to seek goal (Set Cell)
- Click Data
- Selected What-if analysis
- Click Goal Seek
- Specify to value
- Select by changing cell
- Then you will get what value you need to change to get your goal value.
- https://www.youtube.com/watch?v=fcKCUDyF73Y
Solutions:
Biden’s 95% confidence interval for winning proportion is (0.4835, 0.5575) in MI, (0.4821, 5579) in PA, and (0.4915, 0. 5685) in WI. He still could lose.
Trump’s 95% confidence interval for winning proportion is (0.3829, 4571) in MI, (0.4024, 0.4776) in PA, and (0.4018, 0. 4782) in WI. He could not win unless more than 85% of undecided voters vote for Trump.
See Excel file attached.
I will tell my students. If you can get a full score 10, then your HWs will get an extra full score 10. If you cannot get a full score, I will ignore it. Enjoy.
我已经在Canvas上张贴了额外作业,交作业期限为11月3日晚上11:59。